Theorems · Theorem · order theory
IsOrderedRing.mkOfCone
∀ {S : Type u_1} {R : Type u_2} [inst : Ring R] [inst_1 : SetLike S R] (C : S) [inst_2 : RingConeClass S R],
IsOrderedRing RConstruct a partially ordered ring by designating a cone in a ring.
- Defined in
- Mathlib.Algebra.Order.Ring.Cone
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- RingSetLikeRingConeClass
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- SetLikestatement and proof · cited by 1,084
- sub_zeroproof · cited by 938
- IsOrderedRingstatement · cited by 777
- MulMemClass.mul_memproof · cited by 173
- PartialOrder.mkOfAddGroupConestatement · cited by 3
- RingConeClassstatement and proof · cited by 2
- IsOrderedRing.of_mul_nonnegproof · cited by 1
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